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Finding the Fourth Proportional to 80,522.78, 120,784.19 and 25,118.78

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Solution

The fourth proportional to 80,522.78, 120,784.19 and 25,118.78 is: 37,678.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,522.78 : 120,784.19 = 25,118.78 : x
  2. Step 2: Convert to fraction form
    80,522.78/120,784.19 = 25,118.78/x
  3. Step 3: Cross multiply
    80,522.78x = 120,784.19 × 25,118.78
  4. Step 4: Simplify right side
    80,522.78x = 3,033,950,766.57
  5. Step 5: Solve for x
    x = 3,033,950,766.57/80,522.78
  6. Step 6: Final answer
    x = 37,678.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.